## Expanding (x+5)(x+5) into an Equivalent Trinomial

The expression (x+5)(x+5) is a binomial multiplied by itself, which is also known as squaring a binomial. To find the equivalent trinomial, we can use the **FOIL** method:

**F**irst: Multiply the first terms of each binomial: x * x = **x²**
**O**uter: Multiply the outer terms of the binomials: x * 5 = **5x**
**I**nner: Multiply the inner terms of the binomials: 5 * x = **5x**
**L**ast: Multiply the last terms of each binomial: 5 * 5 = **25**

Now, combine the terms: x² + 5x + 5x + 25

Finally, simplify by combining the like terms: **x² + 10x + 25**

Therefore, the equivalent trinomial for (x+5)(x+5) is **x² + 10x + 25**.

**Key Points:**

**Squaring a binomial:**(a + b)² = a² + 2ab + b²**FOIL method:**A helpful tool for expanding binomials.**Combining like terms:**Simplifying expressions by adding or subtracting terms with the same variable and exponent.

By understanding these concepts, you can easily expand any binomial squared into its equivalent trinomial form.